Possibly, although I don't ship it and I don't think it'll work. In my personal opinion, Eren is way too dedicated to his goal- therefor, he's clueless to the idea of loving someone romantically, although he holds those close to him dearly. His goal will block any idea of romance, because he's so dedicated to it. Eren's also kind of clueless in general and a bit of a pinhead.

Meanwhile, on the other hand, Mikasa is far too caring for Eren- she always wants to protect him, 24/7. Confused Eren gets pissed off at Mikasa because, although he'd hate his friends to die, he's not that caring. She's like that because she (most likely) likes him romantically. Mikasa is far too strong-minded for Eren anyways. While he has strong ambition and dedication, he is kind of weak minded. Mikasa has a strong heart and doesn't get hurt easily. The only thing that would completely ruin her would be Eren dying, or Armin dying.

well, if you are taking this from a psychological standpoint, technically anyone can do anything they like. Just like I can eat a computer, doesn't mean I'm going to. If you are asking if Mikasa and Eren MAY become a couple, then for sure, you can already tell they have that spark when they are with each other and they both care about each other very deeply.

I have mixed feelings with this one, because of the fact that the directors are so willing (and able) to kill off and dismember the characters bodies (i'm speaking about everyone in the story). I wouldn't mind- AND THIS IS NOT A SPOILER, PURELY OPINION If Mikasa died and that causes Eren to really reflect on his decision and whether or not he will continue on. Plus, like a lot of people said, there too close >.< ...right?